Problem preview
S-ID.2 Warmup M1-051-A04-V01

Compare data sets using center and spread measures appropriate to distribution shape.

Find and compare interquartile ranges from Q1 and Q3

Problem

Data set A has \(Q_{1}\) \(4\), \(Q_{3}\) \(10\). Data set B has \(Q_{1}\) \(6\), \(Q_{3}\) \(12\). Find and compare the interquartile ranges.

Big Picture

What this problem is really about

Treat each middle-half interval as a width, not as a location on the number line. Subtract the first quartile from the third quartile for each data set, then compare the resulting widths; two boxes can sit at different values yet still have the same interquartile spread.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
S-ID.2
Category
Statistics and Probability
Domain
Interpreting Categorical and Quantitative Data
Objective
Compare data sets using center and spread measures appropriate to distribution shape.
Problem type
Find and compare interquartile ranges from Q1 and Q3